Question

"Given the following data, compute the servable portion cost for one serving.

Ingredient: Vodka
Servable yield: 90 percent
Serving size: 65 ml
AP price per 1.75-liter bottle: $14.95
NOTE: there are 1,000 ml in a one-liter bottle"

Answer 1

To calculate the servable portion cost for one 65 mL serving of vodka with a servable yield of 90%, the total usable volume is 1,575 mL from a 1.75-liter bottle priced at $14.95. The cost per mL is about $0.00949, making the cost around 62 cents per serving.

Step-by-step explanation:

To calculate the servable portion cost for one serving of vodka, we need to consider the serving size, servable yield, and the AP price per bottle. The AP (as purchased) price for a 1.75-liter bottle of vodka is $14.95. Since there are 1,000 mL in a liter, a 1.75-liter bottle contains 1,750 mL of vodka.

First, we find out how much vodka we have available after accounting for the yield. The servable yield is 90%, which means we get 90% of the bottle's volume to use. Thus, we calculate the usable vodka amount as:

1,750 mL (total volume) × 90% (yield) = 1,575 mL (usable vodka)

Then, we find out the cost per mL by dividing the total cost by the usable volume:

$14.95 (cost per bottle) ÷ 1,575 mL (usable vodka) = $0.00949 cost per mL

Finally, to calculate the cost for a single 65 mL serving, we multiply the cost per mL by the serving size:

$0.00949 (cost per mL) × 65 mL (serving size) = $0.617, or about 62 cents per serving

Answer 2

The servable portion cost for one serving of Vodka is approximately $0.50.

To compute the servable portion cost for one serving of Vodka, we need to follow these steps:

1. Calculate the servable portion:
The servable yield is given as 90 percent, which means 90 percent of the original ingredient will be servable. So, we multiply the servable yield (0.90) by the serving size (65 ml) to get the servable portion.
Servable portion = 0.90 * 65 ml

2. Convert the servable portion to liters:
Since the AP price per 1.75-liter bottle is given, we need to convert the servable portion to liters. Remember that there are 1,000 ml in a one-liter bottle.
Servable portion in liters = (0.90 * 65 ml) / 1000

3. Calculate the cost of one serving:
To find the cost of one serving, we divide the cost of the 1.75-liter bottle by the total number of servings in the bottle.
Number of servings in the bottle = (1.75 liters) / (servable portion in liters)
Cost of one serving = AP price per 1.75-liter bottle / Number of servings in the bottle

Let's calculate the servable portion cost for one serving using the given data:

1. Calculate the servable portion:
Servable portion = 0.90 * 65 ml = 58.5 ml

2. Convert the servable portion to liters:
Servable portion in liters = (0.90 * 65 ml) / 1000 = 0.0585 liters

3. Calculate the cost of one serving:
Number of servings in the bottle = (1.75 liters) / (0.0585 liters) = 29.91 servings (approx.)
Cost of one serving = $14.95 / 29.91 servings = $0.50 (approx.)